The resolution of the degree‐2 Abel‐Jacobi map for nodal curves‐I

DOI10.1002/mana.201200339zbMath1312.14082arXiv1304.5093OpenAlexW2142210493MaRDI QIDQ5175862

Marco Pacini

Publication date: 25 February 2015

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5093

zbMATH Keywords

nodal curveEsteves's fine compactified JacobianNeron maps associated to Abel-Jacobi maps

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60)

Related Items (6)

Semistable modifications of families of curves and compactified Jacobians ⋮ Degree-2 Abel maps and hyperelleptic curves ⋮ The resolution of the universal Abel map via tropical geometry and applications ⋮ The resolution of the degree‐2 Abel‐Jacobi map for nodal curves‐I ⋮ On the degree-1 Abel map for nodal curves ⋮ On the geometry of Abel maps for nodal curves

Cites Work

• A limit linear series moduli scheme
• Naturality of Abel maps
• Abel maps of Gorenstein curves
• Limit linear series: Basic theory
• Compactifying the Picard scheme
• On the variety of special linear systems on a general algebraic curve
• Limit canonical systems on curves with two components
• Abel maps and limit linear series
• Two ways to degenerate the Jacobian are the same
• Abel maps for curves of compact type
• On Abel maps of stable curves
• Limit Weierstrass schemes on stable curves with 2 irreducible components
• Compactifying the relative Jacobian over families of reduced curves
• Fine compactified Jacobians
• Moduli of roots of line bundles on curves
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• The resolution of the degree‐2 Abel‐Jacobi map for nodal curves‐I
• Néron models and compactified Picard schemes over the moduli stack of stable curves

This page was built for publication: The resolution of the degree‐2 Abel‐Jacobi map for nodal curves‐I